The 120-m-long crest of an overflow spillway will discharge 1,200 m3/sec of floodwater from a reservoir with a permitted maximum head of 2.75 m. The operation of the prototype spillway is studied on a 1:50 scale model in a hydraulic laboratory assuming inertial and gravity forces are dominant.
(a) Determine the velocity at the bottom (toe) of the prototype spillway if the velocity in the model spillway at this location measures 3.54 m/sec.
(b) Determine the Froude number at the bottom of the prototype spillway.
(c) If a USBR type II stilling basin (Section 8.10) that is 50 m wide is used to dissipate the energy at the toe of the spillway, what is the prototype depth downstream of the jump?
(d) What is the energy dissipation (in kilowatts) in the prototype?
(e) What is the energy removal efficiency of the dissipater in the prototype?